Answer:
[tex] - 8 - 6i[/tex]
Step-by-step explanation:
The given expresion is
[tex]y = {x}^{2} - 2x + 1[/tex]
We want to evaluate this expression when x=3i
We substitute to obtain:
[tex]y = {(3i)}^{2} - 2(3i) + 1[/tex]
We simplify to get
[tex]y = {3}^{2} \times {i}^{2} - 6i + 1[/tex]
Recall that
[tex] {i}^{2} = - 1[/tex]
This implies that:
[tex]y = 9 \times - 1 - 6i + 1[/tex]
[tex]y = - 9 - 6i + 1[/tex]
[tex]y = - 8 - 6i[/tex]
